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2873288277120 = 27357192081369
BaseRepresentation
bin101001110011111101010…
…100111011110010000000
3101011200110101210211000210
4221303331110323302000
5334033443244331440
610035545335314120
7414405522245352
oct51637524736200
911150411724023
102873288277120
11a08611364948
123a4a4251b940
1317ac46c948a1
149d0d44350d2
154eb1a419a80
hex29cfd53bc80

2873288277120 has 128 divisors (see below), whose sum is σ = 9171348768000. Its totient is φ = 765144178688.

The previous prime is 2873288277089. The next prime is 2873288277131. The reversal of 2873288277120 is 217728823782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339796 + ... + 2421164.

It is an arithmetic number, because the mean of its divisors is an integer number (71651162250).

Almost surely, 22873288277120 is an apocalyptic number.

2873288277120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2873288277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585674384000).

2873288277120 is an abundant number, since it is smaller than the sum of its proper divisors (6298060490880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2873288277120 is a wasteful number, since it uses less digits than its factorization.

2873288277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082110 (or 2082098 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The spelling of 2873288277120 in words is "two trillion, eight hundred seventy-three billion, two hundred eighty-eight million, two hundred seventy-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 719 960 1438 1920 2157 2876 3595 4314 5752 7190 8628 10785 11504 14380 17256 21570 23008 28760 34512 43140 46016 57520 69024 86280 92032 115040 138048 172560 230080 276096 345120 460160 690240 1380480 2081369 4162738 6244107 8325476 10406845 12488214 16650952 20813690 24976428 31220535 33301904 41627380 49952856 62441070 66603808 83254760 99905712 124882140 133207616 166509520 199811424 249764280 266415232 333019040 399622848 499528560 666038080 799245696 999057120 1332076160 1496504311 1998114240 2993008622 3996228480 4489512933 5986017244 7482521555 8979025866 11972034488 14965043110 17958051732 22447564665 23944068976 29930086220 35916103464 44895129330 47888137952 59860172440 71832206928 89790258660 95776275904 119720344880 143664413856 179580517320 191552551808 239440689760 287328827712 359161034640 478881379520 574657655424 718322069280 957762759040 1436644138560 2873288277120